Join Date: Jan 2008
Location: AKL
Programs: A3, AA, AF, AS, BA, SQ, UA, US, IHG, SPG
Posts: 352
OP needs to purchase a oneworld Explorer fare which allows flights on some non-oneworld partner airlines, like Air Pacific and Air Tahiti, etc.
Easter Island-Tahiti and Tahiti-Auckland or Sydney are operated by Air Tahiti, which doesn't belong to any alliance. From Australia and NZ there are Air Tahiti-Lan join ticket/deal that includes such routing to South America.